James is making a paper chain from different colored paper strips. He joins the links in the following pattern: red, blue, red,
1 answer:
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Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
Answer:
The number of subscription will be 26,655 in 2022.
Step-by-step explanation:
In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.
After 1 year number of subscription is 110,000- 8% of 110,00
=110,000(1-8%)
After 2 years number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)
=110,000(1-8%)(1-8%)
=110,000(1-8%)²
After 2 years number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²
=110,000(1-8%)²(1-8%)
=110,000(1-8%)³
....
and so on.
After t year the number of subscription is
t= 2022-2005=17 years
≈26,655
The number of subscription will be 26,655 in 2022.